Recently I stumbled upon Gene Wirchenko’s Blog, and he had s similar problem.

Here is a variation of his problem. Combine 2, 3 and 5 to make all the numbers 0-22. Use each of the three digit exactly once, but you are free to use addition, multiplication, division, subtraction, brackets, exponentiation and factorial as often as you like.
For those of you who are not familiar with factorials a short reminder:
0! = 1
1! = 1
2! = 2*1
3! = 3*2*1
4! = 4*3*2*1
etc.

You can check your solution here

New puzzles are published at least twice a month on Fridays. Solutions are added after several weeks.